An ant colony optimization algorithm for the bi-objective shortest path problem

Applied Soft Computing Journal

Volumn 10, Issue 4, 2010, Pages 1237-1246

  Ghoseiri, Keivan ^a,b   Nadjari, Behnam ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Ant colony optimization; Combinatorial optimization; Multiple objective; Pareto optimal path; Shortest path problem

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMBINATORIAL OPTIMIZATION; GRAPH THEORY; MULTIOBJECTIVE OPTIMIZATION; OPTIMIZATION; PARETO PRINCIPLE; PROJECT MANAGEMENT; TELECOMMUNICATION INDUSTRY;

ANT COLONY OPTIMIZATION (ACO); ANT COLONY OPTIMIZATION ALGORITHMS; CONFLICTING OBJECTIVES; MULTI-OBJECTIVE SHORTEST PATH PROBLEMS; MULTIPLE-OBJECTIVES; PARETO OPTIMAL PATHS; PARETO-OPTIMAL FRONTIERS; SHORTEST PATH PROBLEM;

ANT COLONY OPTIMIZATION;

EID: 78049295629     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2009.09.014     Document Type: Article

References (31)

1. R.K. Ahuja, T.L. Magnanti, J.B. Orlin, Network Flow, Theory, Algorithms and Applications, Prentice Hall, Englewood Cliffs, N.J., 1993.
2. J. Brumbaugh-Smith, D. Shier, An empirical investigation of some bicriterion shortest path algorithm, European Journal of Operational Research 43 (1989) 216-224.
3. A.J.V. Skriver, K.A. Andersen, A label correcting approach for solving bicriterion shortest path problems, Computer & Operation Research 27 (2000) 507-524.
4. E.Q.V. Martins, On a multicriteria shortest path problem, European Journal of Operational Research 16 (1984) 236-245.
5. X. Gandibleux, F. Beugnies, S. Randriamasy, Martins' algorithm revisited for multi-objective shortest path problems with a Max-Min cost function, 4OR: A Quarterly Journal of Operations Research 4 (1) (2006) 47-59.
6. E.Q.V. Martins, J.L.E. Santos, The Labeling Algorithm for Multiobjective Shortest Path Problem, Working Paper, Department of Mathematics, University of Coimbra, 1999.
7. A. Warburton, Approximation of pareto optima in multiple-objective shortest path problems, Operation Research 35 (1987) 70-79.
8. R. Hassin, Approximation schemes for the restricted shortest path problem, Mathematics of Operations Research 17 (1992) 36-42.
9. D.H. Lorenze, D. Raz, A simple efficient approximation scheme for the restricted shortest path problem, Operation Research Letters 28 (2001) 213-219.
10. F. Ergun, R. Sinha, L. Zhang, An improved FPTAS for restricted shortest path, Information Processing Letters 83 (2002) 287-291.
11. G. Hao, D. Zhang, X. Feng, Model and algorithm for shortest path of multiple objectives, Journal of Southwest Jiaotong University 42 (2007) 641-646.
12. J.M.A. Pangilinan, G.K. Janssens, Evolutionary algorithms for the multiobjective shortest path problem, in: Proceedings of the World Academy of Science, Engineering and Technology, vol. 21 (PWASET), 2007, pp. 205-210.
13. N. Attiratanasunthron, J. Fakcharoenphol, A running time analysis of ant colony optimization algorithm for shortest paths in directed acyclic graphs, Information Processing Letters 105 (2008) 88-92.
14. M. Dorigo, V. Maniezzo, A. Colorni, Ant System: An Autocatalytic Optimizing Process, Technical Report, Dipartimento di Elettronica e Informazione, Politecnico di Milano, 1991.
15. M. Dorigo, L.M. Gambardella, A cooperative learning approach to the traveling salesman problem, IEEE Transaction on Evolutionary Computation 1 (1997) 53-66.
16. T. Stützle, M. Dorigo, ACO Algorithms for the Traveling Salesman Problem, Working Paper, Universite Libre de Bruxelles, Belgium, 1999.
17. M. Dorigo, G.D. Caro, L.M. Gambardella, Ant algorithms for discrete optimization, Artificial Life 5 (2) (1999) 137-172.
18. K. Socha, M. Sampels, M. Manfrin, Ant algorithms for the university course timetabling problem with regard to the state-of-the-art, in: Proceedings of the Third European Workshop on Evolutionary Computation in Combinatorial Optimization (EvoCOP), 2003, pp. 334-345.
19. A. Colorni, M. Dorigo, V. Maniezzo, M. Trubian, Ant system for job-shop scheduling, Belgian Journal of Operations Research, Statistics and Computer Science 34 (1994) 295-305.
20. L.M. Gambardella, M. Dorigo, An ant colony system hybridized with a new local search for the sequential ordering problem, INFORMS Journal on Computing 12 (2000) 237-255.
21. S.R. Jangam, N. Chakraborti, A novel method for alignment of two nucleic acid sequences using ant colony optimization and genetic algorithm, Applied Soft Computing 7 (2007) 1121-1130.
22. S. Iredi, D. Merkle, M. Middendorf, Bi-criterion optimization with multi colony ant algorithm, in: Proceedings of the First International Conference on Evolutionary Multi-criteria Optimization (EMO), 2001, pp. 359-372
23. K. Doerner, W.J. Gutjahr, R.F. Hartl, C. Strauss, C. Stummer, Pareto ant colony optimization: a meta-heuristic approach to multiobjective portfolio selection, Annals of Operation Research 131 (1-4) (2004) 79-99.
24. B. Barán, M. Schaerer, A multiobjective ant colony system for vehicle routing problem with time windows, in: Proceedings of the Twenty First IASTED International Conference on Applied Informatics, February 2003, pp. 97-102.
25. K. Doerner, R.F. Hartl, M. Teimann, Are COMPETants more competent for problem solving? - the case of full truckload transportation, Central European Journal of Operation Research 11 (2) (2003) 115-141.
26. C. García-Martínez, O. Cordón, F. Herrera, A taxonomy and empirical analysis of multiple objective ant colony optimization algorithm for the bi-criteria TSP, European Journal of Operation Research 180 (2007) 116-148.
27. P. Cardoso, M. Jesús, A. Márquez, MONACO-multi-objective network optimisation based on an ACO, in: Proceedings of the X Encuentros de Geometría Computacional, Seville, Spain, 2003, pp. 16-17.
28. E. Zitzler, K. Deb, L. Thiele, Comparison of multiobjective evolutionary algorithms: empirical results, Evolutionary Computation 8 (2000) 173-195.
29. E. Zitzler, L. Thiele, M. Laumanns, C.M. Fonseca, V.G. Fonseca, Performance assessment of multiobjective optimizers: an analysis and review, IEEE Transaction on Evolutionary Computation 7 (2) (2003) 117-132.
30. A. Jaszkiewicz, Evaluation of multiple objective metaheuristics, in: X.
31. J.R. Schott, Fault Tolerant Design using Single and Multicriteria Genetic Algorithm Optimization, Master's Thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA, 1995.